Question

The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X.
What is the measure of angle ACB?

Answer 1

k

Answer 2

anything?

Answer 3

studying.. wait

Answer 4

ty

Answer 5

0.5(m arc AB - m arc AX)

Answer 6

ehhh

Answer 7

yup.. thanks @phi :)

Answer 8

ehhhh

Answer 9

minor arc AB is 56 degrees, right?

Answer 10

it is labeled 176

Answer 11

arc AB is labled 176

Answer 12

so arc AX has to be 184 degrees

Answer 13

Since it is a major arc, right?

Answer 14

angle ABX is 1/2 the central angle (and arc)

Answer 15

so ABX is 92 degrees?

Answer 16

wait, ABX is already 56 degrees

Answer 17

so would the bigger arc be 112 degrees?

Answer 18

176-112/2?

Answer 19

32

Answer 20

(176-112)/2

Answer 21

k

Answer 22

and thats for?

Answer 23

AngleACB?

Answer 24

It can't really be more because angle BAC definitely looks obtuse